Question

Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data.


According to the line of best fit, about how many times would the coin land heads up in 100 flips?


48

50

51

53

Answer 1

Step-by-step explanation:

 

Answered: dennisedemirovic20

Option 4 - 53

Step-by-step explanation:

Given : Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands heads up. The table shows her data.

To find : According to the line of best fit, about how many times would the coin land heads up in 100 flips?

Solution :

We create the table of coin fairness table

Number of coin flips -  0    10    20    30    40    50    60    70    80    90

Number of heads up - 0    7       12    18      23    30    35    38    42    45

Now, using linear regression calculator,

We get the best line fit for the data

i.e, y = 0.5079x + 2.1455

Now, for heads up in 100 flips we substitute x=100

Graphically we plot the equation and see the point at x=100

The point is (100,52.935)

Or approximately the coin land heads up in 100 flips is 53.

Therefore, Option 4 is correct.

Refer the attached figure.

Lydia runs an experiment to determine if a coin is fair by counting the number of times a coin lands